Answer:
[tex]{ \tt{area = {area \: of \: 4 \: triangles}}} \\ area = \frac{1}{2} \times base \times height \\ \\ { \bf{area = 2(\frac{1}{2} (0.75 \times 1)) + 2( \frac{1}{2} \times 0.75 \times (3 - 1))}} \\ area = 0.75 + 1.5 \\ { \tt{area = 2.25 \: {ft}^{2} }} \\ \\ { \underline{ \blue{ \tt{becker \: jnr}}}}[/tex]
5. There is a circular field of area of approximately
500 m2. How can you find its area accurately by
using a measuring tape?
Step-by-step explanation:
It is known that area of a circular is calculated as follows.
[tex]Area = \pi \times r^{2}[/tex]
So, when a circular field of area of approximately 500 [tex]m^{2}[/tex] is there then diameter of the field is calculated using the measuring tape from one side of the circular tape to the other. Now, to calculate the radius it is required to divide the diameter by 2.
Hence, put these values into the above formula to find out the area. In this way we can find out the area of given circular field accurately by using a measuring tape.
Which equation is equivalent to the given equation
X2-6x=8
Answer:
Step-by-step explanation:
x^2 -6x-8=0
Ecuación ,me seria de mucha ayuda su respuesta
3x+1=5x+3=
Answer:
3x+5x=3-1
8x=2
X=8/2
X=4
In parallelogram KLMN if LP=7 find LN.
Answer:
LN = 14
Step-by-step explanation:
diagonals of a parallelogram bisect each other so
LN = 2LP
LN = 2*7
LN = 14
Please answer quickly
Answer:
10
Step-by-step explanation:
given :
length WX ≅ (congruent means equal) length XY
therefore , WX = 3
WZ = WX + XZ
WZ = 3 + 7
WX = 10
i need help asap
i need to know how to show work pls help
Step-by-step explanation:
add all the freqency up which is 100
you have to use a customize spinner and put in all the colors that are all on the side...
Spin 150 times ( 250-100= 150) and put tally marks on the sheet of tallys.
Then count all you red and see.
Hope all that makes sense..
Find one value of x that is a solution to the equation:
(x^2+4)^2 – 11(x^2+4) + 24 = 0
Answer:
x = ±2
x = ±i
Step-by-step explanation:
(x^2+4)^2 – 11(x^2+4) + 24 = 0
Let m = x^2 +4
(m)^2 – 11(m) + 24 = 0
Solving this quadratic
What two numbers multiply to 24 and add to -11
-8*-3 =24
-8-3 = -11
(m-8)(m-3) =0
m = 8 m=3
Now substitute back
x^2 +4 = 8 x^2 +4 = 3
x^2 +4-4 = 8-4 x^2+4-4 = 3-4
x^2 = 4 x^2 = -1
Taking the square root
sqrt(x^2) = sqrt(4) sqrt(x^2) = sqrt(-1)
x = ±2 x = ±i
Answer:
one value of x = 2
Step-by-step explanation:
[tex](x^2 + 4 )^2 - 11(x^2 + 4 ) + 24 = 0\\\\x^4 + 16 + 8x^2 - 11x^2 -44 + 24 = 0\\\\x^4 - 3x^2 -4 = 0\\\\[/tex] ------ ( 1 )
[tex]Let \ x^2 \ = \ u[/tex]
( 1 ) => [tex]u^2 - 3u - 4 = 0[/tex]
[tex]u^2 -4u + u - 4 = 0\\\\u(u - 4) + 1 (u - 4) = 0\\\\(u + 1) (u - 4) = 0\\\\u = -1 \ , \ u = 4[/tex]
[tex]=> x^2 = - 1 \ and \ x^2 = 4[/tex]
[tex]x = \sqrt {-1} = i[/tex]
[tex]x = \sqrt{4} = \pm 2[/tex]
Given the general form of the sinusoidal function, y = AsinB(x - C) + D, match the following items.
Answer:
[tex]\Delta y = A[/tex] (Amplitude) (Correct answer: 1)
[tex]\omega = B[/tex] (Angular frequency) (Correct answer: 2)
[tex]x_{o} = C[/tex] (Phase shift) (Correct answer: 3)
[tex]y_{o} = D[/tex] (Vertical shift) (Correct answer: 4)
[tex]\frac{2\pi}{\omega} = \frac{2\pi}{B}[/tex] (Period) (Correct answer: 5)
Step-by-step explanation:
The general form of a sinusoidal function is represented by the following characteristics:
[tex]y = \Delta y \cdot \sin \omega\cdot (x- x_{o}) + y_{o}[/tex] (1)
Where:
[tex]\Delta y[/tex] - Amplitude.
[tex]\omega[/tex] - Angular frequency.
[tex]x_{o}[/tex] - Phase shift.
[tex]y_{o}[/tex] - Vertical shift.
[tex]x[/tex] - Independent variable.
[tex]y[/tex] - Dependent variable.
In addition, we know that the period associated with the sinusoidal function ([tex]T[/tex]) is:
[tex]T = \frac{2\pi}{\omega}[/tex]
By direct comparison, we get the following conclusions:
[tex]\Delta y = A[/tex] (Amplitude) (Correct answer: 1)
[tex]\omega = B[/tex] (Angular frequency) (Correct answer: 2)
[tex]x_{o} = C[/tex] (Phase shift) (Correct answer: 3)
[tex]y_{o} = D[/tex] (Vertical shift) (Correct answer: 4)
[tex]\frac{2\pi}{\omega} = \frac{2\pi}{B}[/tex] (Period) (Correct answer: 5)
Hey guys I need help real quick it’s question number 6 pls :)
Select all the expressions that
are equivalent to 23. (22)
Answer: 2 to the 8th power
Step-by-step explanation:
Find the measures of a positive angle and a negative angle that are coterminal with each given angle
0=110
Answer:
Why was Mrs Hallette unhappy when people asked about her son?
Step-by-step explanation:
Can someone helppppp and explain plsss:))
Answer:
Step-by-step explanation:
3
2
In the diagram above, Z3 = 40°.
Find the measure of Z2.
L2 = [?]°
PLEASE HELP ME!! its a pretty easy question
Answer:
V= 936m³
Step-by-step explanation:
Formula:
Volume = L * W * H
Volume1= L * W * H
= 16 * 9 * 6
= 864m³
Volume2= L * W * H
= 6 * 2 * 6
= 72m³
Add both volumes to get total volume.
= 864m³ + 72m³ = 936m³
Hope this helps!
Have a nice dayy! :)
59.73 - 21.876
can u help me
Answer:
37.854
Step-by-step explanation:
59.73-21.876=37.854
[tex](2x + 3)(2 {x}^{2} - x - 2)[/tex]
simplify this question
25 points please explain it to me add the answer and the work since I’m so confused on when to subtract missing lengths where and when
9514 1404 393
Answer:
it depends on what the question is (no question is given)
Step-by-step explanation:
What you add or subtract will depend on the problem you're trying to solve, and how you're trying to solve it.
Perimeter
The two left-side vertical segments are 13 and 3. The right-side vertical segment is 16. As you can see, these have the same total: 16.
The top horizontal segment has a length of 21. The two bottom horizontal segments have lengths 16 and 5, for a total of 21—the same as the top segment.
For simple L-shaped figures like this, the overall horizontal lengths and the overall vertical lengths are the same as they would be for a rectangle that is 21 wide and 16 high.
P = 2(L+W) = 2(21+16) = 2(37) = 74 units
__
Area
The dashed lines divide this figure into 3 rectangles.
left side: 16 wide by 13 high
upper right: 5 wide by 13 high
lower right: 5 wide by 3 high
You can see that the vertical measures must "add up", as must the horizontal measures. This fact helps you determine the lengths of the unmarked sides.
You can compute the area from the three rectangles identified above, or any of several other ways. One of my favorite is to compute the overall area of the 21 wide by 16 high rectangle, then subtract the 16 wide by 3 high white space at lower left.
area = 21·16 -16·3 = 16·(21 -3) = 16·18 = 288 . . . . square units
Adding the 3 rectangles identified above gives ...
16·13 +5·13 +5·3 = 208 +65 +15 = 288 . . . . same area
pls tell by step by step
Answer:
x = 50 degree
Step-by-step explanation:
x + 10 + x + x + 20 = 180 degree (being linear pair)
3x + 30 = 180
3x = 180 - 30
x = 150/3
x = 50 degree
12. A is the point with coordinates (1,3)
Bis the point with coordinates (-2, -1)
The line L has equation 3y = 4 - 2x
Is line L parallel to AB?
Show your working clearly.
Answer:
line L is not parallel to AB
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
3y = 4 - 2x ( divide terms by 3 )
y = [tex]\frac{4}{3}[/tex] - [tex]\frac{2}{3}[/tex] x ← in slope- intercept form
with slope m = - [tex]\frac{2}{3}[/tex]
Calculate slope of AB using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = A(1, 3) and (x₂, y₂ ) = B(- 2, - 1)
[tex]m_{AB}[/tex] = [tex]\frac{-1-3}{-2-1}[/tex] = [tex]\frac{-4}{-3}[/tex] = [tex]\frac{4}{3}[/tex]
Parallel lines have equal slopes
Since the slopes are not equal then the lines are not parallel
Question 17 of 25
Imagine that you are given two linear equations in slope-intercept form. You
notice that both the slopes and the y-intercepts are the same. How many
solutions would you expect for this system of equations?
A. infinitely many
B. cannot be determined
C. O
D. 1
Answer:
A. infinitely many
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptSolving systems of equations
Step-by-step explanation:
If 2 lines are parallel (same slope, different y-intercept), they would have no solution.
If 2 lines were the same (same slope, same y-intercept), they would have infinite amount of solutions.
Which set of numbers is arranged in increasing order? A. , , , B. , , , C. , , , D. , , ,
Answer:
its B
Step-by-step explanation:
3.14 then pi (3.14159) then 22 ÷ 7 (3.1428) then square root of 10 (3.16)
Answer:
B
Step-by-step explanation:
pi=3.141592654
square root of 10=3.16227766
3.14=3.14
22/7=3.142857143
An angle measuring 60 degrees is measured as 62 degrees. What is the percentage error correct to 3 significant figures?
error = 62-60 = 2°
% = (2×100)/60 = 100/30 = 10/3 = 3.333%
A model of a car is 24 in. long. The actual car is 16 ft long. What is the ratio
of the length of the model to the length of the car?
1 foot = 12 inches.
The model of the car is 24/12 = 2 feet long.
The ratio would be 2 ft/ 16 ft which can be reduced to 1/8
Answer 1/8
The measures, in degrees, of the three angles of a triangle are given by 2x+1, 3x - 3, and 9x. What is the
measure of the smallest angle?
Answer:
Step-by-step explanation:
27 degrees
HELP!! I tried solving this and cant seem to get it right.
Answer:
x= 20
y = 10
Step-by-step explanation:
Angles 3x° and 60° are Corrosponding angles so they are equal:
[tex]3x = 60 \\ \frac{3x}{3} = \frac{60}{3} \\ x = 20[/tex]
Angles (5y-5)° and 135° are Cointerior so add to give 180°:
[tex]5y - 5 + 135 = 180 \\ 5y + 130 = 180 \\ 5y = 180 - 130 \\ \frac{5y}{5} = \frac{50}{5} \\ y = 10[/tex]
Substitute y and x into the respective formula's to get your angles.
The average of 7 numbers is 45.If the last two numbers are 27 and 43 what is the average of the first five
Answer:
49
Step-by-step explanation:
The average is calculated as
average = [tex]\frac{sum}{count}[/tex] Given the average of 7 numbers is 45 , then
[tex]\frac{sum}{7}[/tex] = 45 ( multiply both sides by 7 )
sum of 7 numbers = 315
Subtract 27, 43 from the sum to obtain the sum of first 5 numbers
315 - (27 + 43) = 315 - 70 = 245 , then
average of first 5 numbers = [tex]\frac{245}{5}[/tex] = 49
PLZZZ HELP
Find the average rate of change of h(x) = 2x² – 7x from x=2 to x=5.
Simplify your answer as much as possible.
Answer:
The average rate of change of h(x) in the given interval is 7.
Step-by-step explanation:
When we want to find the average rate of change of a function f(x), in an interval a < x < b, we just need to calculate:
[tex]r = \frac{f(b) - f(a)}{b - a}[/tex]
Here we have:
h(x) = 2*x^2 - 7*x
And we want to find the average rate of change between x = 2 and x = 5
This will be:
[tex]r = \frac{h(5) - h(2)}{5 - 2} = \frac{(2*5^2 - 7*5) - ( 2*2^2 - 7*2)}{3} = \frac{15 - (-6)}{3} = \frac{21}{3} = 7[/tex]
The average rate of change of h(x) in the given interval is 7.
En un océano, hay 3 Islas, cada isla representa un Monomio, si el grado absoluto de cada isla lo representa la cantidad de persona que hay en cada isla, calcular el grado absoluto del océano. En la Primera isla hay 10 personas, en la Segunda isla hay 25 personas y en la Tercera isla hay 8 personas. Nota: Un océano es el polinomio y cada isla es un monomio que está incluido dentro del polinomio.
Answer:
25
Step-by-step explanation:
Un polinomio de grado n se escribe como:
P(x) = aₙ*x^n + ... + a₁*x + a₀*x^0
Donde n es el exponente de mayor del polinomio, y decimos que el grado absoluto de este polinomio es n.
En este caso sabemos que tenemos 3 islas, y cada una de ellas representa un monomio ( un monomio es cada uno de los términos de un polinomio).
Sabemos que el grado de cada isla depende de la cantidad de gente que vive en la isla.
Tenemos una con 10 personas, entonces tendremos un término con un exponente igual a 10.
Tenemos una isla con 25 personas, entonces tendremos un término con un exponente igual a 25.
Tenemos una isla con 8 personas, entonces tendremos un término con un exponente igual a 8.
Recordando que el grado absoluto del polinomio es igual al mayor exponente del polinomio, acá podemos ver que el mayor exponente es 25.
Entonces el grado absoluto del polinomio será 25.
Geometry math Jim please help and show work thanks
Select the correct answer.
What is the solution for x in the equation?
-x + 3/7 = 2x - 25/7
Answer:
= 4/ 3
Step-by-step explanation:
-x+3/7=2x-25/7
We move all terms to the left:
-x+3/7-(2x-25/7)=0
We add all the numbers together, and all the variables
-x-(+2x-25/7)+3/7=0
We add all the numbers together, and all the variables
-1x-(+2x-25/7)+3/7=0
We get rid of parentheses
-1x-2x+25/7+3/7=0
We multiply all the terms by the denominator
-1x*7-2x*7+25+3=0
We add all the numbers together, and all the variables
-1x*7-2x*7+28=0
Wy multiply elements
-7x-14x+28=0
We add all the numbers together, and all the variables
-21x+28=0
We move all terms containing x to the left, all other terms to the right
-21x=-28
x=-28/-21
x=1+1/3
Answer:
x = [tex]\frac{4}{3}[/tex]
Step-by-step explanation:
Given
- x + [tex]\frac{3}{7}[/tex] = 2x - [tex]\frac{25}{7}[/tex] ( multiply through by 7 to clear the fractions )
- 7x + 3 = 14x - 25 ( subtract 14x from both sides )
- 21x + 3 = - 25 ( subtract 3 from both sides )
- 21x = - 28 ( divide both sides by - 21 )
x = [tex]\frac{-28}{-21}[/tex] = [tex]\frac{4}{3}[/tex]
Eli will photograph a wedding for a flat fee of $1560 or for an hourly rate of $180. For what lengths of time would the hourly rate be less expensive?
The hourly rate would be less expensive if the wedding was less than
? hours long.
(Simplify your answer.)
Answer:
The hourly rate is better between 1 and 8 hours.
Step-by-step explanation:
There are two options
A fixed amount of $1560.
Or an hourly rate of $180 the hour.
So for the first option, the cost equation as a function of time, t, is:
f(t) = $1560
(it does not depend on t)
While for the second option, the equation would be:
g(t) = $180*t
First, we want to answer:
We can expect that for smaller values of t the second option is better but let's see that:
or what lengths of time would the hourly rate be less expensive?
Then we need to solve:
f(t) = g(t)
for t, this is:
$1560 = $180*t
$1560/$180 = t = 8.66
So, for t = 8.66, the cost is the same in both options.
For t < 8.66
(between 1 and 8 hours) the second option is better. (here the hourly rate is better)
for t > 8.66
(9 hours or more) is better the first option, as the hourly (here the flat fee is better)